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Finding the Fourth Proportional to 707.55, 975.80 and 530.91

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Solution

The fourth proportional to 707.55, 975.80 and 530.91 is: 732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.55 : 975.80 = 530.91 : x
  2. Step 2: Convert to fraction form
    707.55/975.80 = 530.91/x
  3. Step 3: Cross multiply
    707.55x = 975.80 × 530.91
  4. Step 4: Simplify right side
    707.55x = 518,061.98
  5. Step 5: Solve for x
    x = 518,061.98/707.55
  6. Step 6: Final answer
    x = 732.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.